Learn how to evaluate and graph for the tangent of an angle

The video tutorial explains how to calculate the tangent of 2π/3 using the unit circle. It begins with an introduction to the concept, followed by an explanation of the unit circle and reference angles. The teacher discusses the reflection of points about the Y-axis and how to determine coordinates. The tutorial then provides a step-by-step guide to calculating the tangent of 2π/3, using the formula y/x and considering the reciprocal. The session concludes with final thoughts on the topic.

What is the angle 2π/3 in relation to the unit circle?

• It is three-quarters of the way around the circle.

• It is two-thirds of the way around the circle.

• It is halfway around the circle.

• It is a quarter of the way around the circle.

How are the coordinates for π/3 and 2π/3 related on the unit circle?

• They are reflections about the Y-axis.

• They are reflections about the origin.

• They are reflections about the X-axis.

• They are identical.

What is the X-coordinate of the point for 2π/3 on the unit circle?

• 1/2

• -1/2

• sqrt 3 / 2

• -sqrt 3 / 2

How do you calculate the tangent of 2π/3 using the unit circle coordinates?

• Divide the Y coordinate by the X coordinate.

• Divide the X coordinate by the Y coordinate.

• Multiply the X and Y coordinates.

• Add the X and Y coordinates.

What is the value of the tangent of 2π/3?

• -1

• sqrt 3

• 1

• -sqrt 3